as the scaling form of the velocity of the flow field behind the shock wave, \(\xi <1\) . In the blast problem, it is customary [1]}, [2]} to use the square of the speed of sound, \(c^2\) , instead of pressure (or temperature). For our one-dimensional hard-point gas \(c^2= 3p/\rho = 3 T\)  which gives us
the scaling form:
\(p(x,t)=\frac{\rho c^2}{3}=\rho \frac{\delta ^2}{3}\,\frac{R^2}{t^2}\,Z(\xi ).\) 
